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Finding the Fourth Proportional to 208,785.84, 313,178.70 and 75,665.86

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Solution

The fourth proportional to 208,785.84, 313,178.70 and 75,665.86 is: 113,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,785.84 : 313,178.70 = 75,665.86 : x
  2. Step 2: Convert to fraction form
    208,785.84/313,178.70 = 75,665.86/x
  3. Step 3: Cross multiply
    208,785.84x = 313,178.70 × 75,665.86
  4. Step 4: Simplify right side
    208,785.84x = 23,696,935,669.18
  5. Step 5: Solve for x
    x = 23,696,935,669.18/208,785.84
  6. Step 6: Final answer
    x = 113,498.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.